3,989,304

2³ × 3³ × 11 × 23 × 73

3,989,304 factors as 2^3 × 3^3 × 11 × 23 × 73. Its 128 positive divisors give a proper-divisor sum of 8,797,896, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 23 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,787,200

Proper Divisor Sum 8,797,896

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3989287 ← → #3989311

Radix Representation

Decimal	3989304
Binary	1111001101111100111000 (22 bits)
Octal	0o17157470
Hexadecimal	0x3CDF38

Divisor Catalog (60 of 128)

1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 73 88 92 99 108 132 138 146 184 198 207 216 219 253 264 276 292 297 396 414 438 506 552 584 594 621 657 759 792 803 828 876 1,012 1,188 1,242 1,314 1,518 1,606

Collatz Trajectory (79 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,989,304 1,994,652 997,326 498,663 1,495,990 747,995 2,243,986 1,121,993 3,365,980 1,682,990 841,495 2,524,486 1,262,243 3,786,730 1,893,365 5,680,096 2,840,048 1,420,024 710,012 355,006 177,503 532,510 266,255 798,766 399,383 1,198,150 599,075 1,797,226 898,613 2,695,840 1,347,920 673,960 336,980 168,490 84,245 252,736 126,368 63,184 31,592 15,796 7,898 3,949 11,848 5,924 2,962 1,481 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704

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